Coulomb breakup of 22C in a four-body model

Abstract

Breakup cross sections are determined for the Borromean nucleus 22C by using a four-body eikonal model, including Coulomb corrections. Bound and continuum states are constructed within a 20C + n + n three-body model in hyperspherical coordinates. We compute continuum states with the correct asymptotic behavior through the R-matrix method. For the n+ n potential, we use the Minnesota interaction. As there is no precise experimental information on 21C, we define different parameter sets for the 20C + n potentials. These parameter sets provide different scattering lengths, and resonance energies of an expected 3/2+ excited state. Then we analyze the 22C ground-state energy and rms radius, as well as E1 strength distributions and breakup cross sections. The E1 strength distribution presents an enhancement at low energies. Its amplitude is associated with the low binding energy, rather than with a three-body resonance. We show that the shape of the cross section at low energies is sensitive to the ground-state properties. In addition, we suggest the existence of a low-energy 2+ resonance, which should be observable in breakup experiments.

References in corpus (12)

• Toward a global description of the nucleus-nucleus interaction
• The R-matrix theory
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Three-body continuum states on a Lagrange mesh
• A non-perturbative approach to halo breakup
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Dipole excitation and geometry of borromean nuclei
• Search for ${}^{21}$C and constraints on ${}^{22}$C
• Interplay between the 0+_2 resonance and the nonresonant continuum of the drip-line two-neutron halo nucleus 22C
• Intermediate energy four-body breakup calculations for 22C
• Precise determination of the effective-range parameters up to an arbitrary order

Cited by in corpus (7)

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• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Identifying structures in the continuum: Application to ${}^{16}$Be
• Two-neutron correlations in a Borromean ${}^{20}\mathrm{C}+n+n$ system: Sensitivity of unbound subsystems
• Dineutron in the $2_1^{+}$ state of ${}^6$He
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Uncertainty Quantification in Breakup Reactions